Construct Probability Histograms
-A random number generator is set to generate single digits between 0 and 9 . One hundred and fifty random numbers are generated. The probability distribution for this random number generator is given below. What is the mean of this distribution?
$\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|}
\hline x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \
\hline P(x) & 0.09 & 0.12 & 0.11 & 0.08 & 0.09 & 0.13 & 0.10 & 0.07 & 0.10 & 0.11 \
\hline
\end{array}$

A) $4.5$
B) $6.6$
C) 5
D) 7

Question

Construct Probability Histograms
-A random number generator is set to generate single digits between 0 and 9 . One hundred and fifty random numbers are generated. The probability distribution for this random number generator is given below. What is the mean of this distribution?
$\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|}
\hline x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \
\hline P(x) & 0.09 & 0.12 & 0.11 & 0.08 & 0.09 & 0.13 & 0.10 & 0.07 & 0.10 & 0.11 \
\hline
\end{array}$

A) $4.5$
B) $6.6$
C) 5
D) 7

Quizplus · Accepted Answer

Mean is the expected value of a random variable. It is calculated by multiplying each possible value of the random variable by its probability and then summing the results. In this case, the mean is:$E(X) = 0 * 0.09 + 1 * 0.12 + 2 * 0.11 + 3 * 0.08 + 4 * 0.09 + 5 * 0.13 + 6 * 0.10 + 7 * 0.07 + 8 * 0.10 + 9 * 0.11 = 4.5$

Construct Probability Histograms -A Random Number Generator Is Set to Generate

Construct Probability Histograms
-A Random Number Generator Is Set to Generate